The regularity of geodesics in impulsive pp-waves

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10290535" target="_blank" >RIV/00216208:11320/14:10290535 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s10714-013-1648-0" target="_blank" >http://dx.doi.org/10.1007/s10714-013-1648-0</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10714-013-1648-0" target="_blank" >10.1007/s10714-013-1648-0</a>

Result language

angličtina

Original language name

The regularity of geodesics in impulsive pp-waves

Original language description

We consider the geodesic equation in impulsive pp-wave space-times in Rosen form, where the metric is of Lipschitz regularity. We prove that the geodesics (in the sense of Caratheodory) are actually continuously differentiable, thereby rigorously justifying the C-1-matching procedure which has been used in the literature to explicitly derive the geodesics in space-times of this form.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

—

Project

<a href="/en/project/7AMB13AT003" target="_blank" >7AMB13AT003: Mathematical aspects of impulsive gravitational waves</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

General Relativity and Gravitation

ISSN

0001-7701

e-ISSN

—

Volume of the periodical

46

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

8

Pages from-to

—

UT code for WoS article

000333634900035

EID of the result in the Scopus database

—